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Finding the Fourth Proportional to 14,283.38, 21,438.92 and 6,893.04

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Solution

The fourth proportional to 14,283.38, 21,438.92 and 6,893.04 is: 10,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.38 : 21,438.92 = 6,893.04 : x
  2. Step 2: Convert to fraction form
    14,283.38/21,438.92 = 6,893.04/x
  3. Step 3: Cross multiply
    14,283.38x = 21,438.92 × 6,893.04
  4. Step 4: Simplify right side
    14,283.38x = 147,779,333.12
  5. Step 5: Solve for x
    x = 147,779,333.12/14,283.38
  6. Step 6: Final answer
    x = 10,346.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.